Volume of cylinder


 
 
Concept Explanation
 

Volume of cylinder

Volume of A Cylinder: Volume of Cylinder = Measure of the space occupied by the cylinder

                                                               = The area of each circular sheet x  Height

                                                              = large pi r^2 h

Thus, Volume of a right circular cylinder = Area of the base x Height = large pi r^2h

Illustration: Find the volume of a right circular cylinder, if the radius of its base and height are 7 cm and 15 cm respectively.

Solution: We know that, Volume of cylinder = large pi r^2h .  Here,  r = 7cm and h = 15cm

Volume of cylinder =frac{22}{7}times 7^2times 15=22times 7times 15=2310cm^3

Illustration: A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled into it. The diameter of the pencil is 7mm, the diameter of the graphite is 1 mm and the length of the pencil is 14 cm. Find the:

(i) Volume of the graphite

(ii) Volume of the wood

(iii) The weight of the whole pencil, if the specific gravity of the wood is 0.7;gm/cm^{3} and that of the graphite is 2.1;gm/cm^{3}.

Solution: We have,

Diameter of the graphite cylinder = 1 mm = frac{1}{10};cm

So, radius of the graphite cylinder =frac{1}{20};cm

Length of the graphite cylinder = 14 cm

V_{1}= Volume of the graphite cylinder =frac{22}{7}times frac{1}{20}times frac{1}{20}times 14;cm^{3}

                                                              =0.11;cm^{3}

(ii) We have,

Diameter of the pencil = 7 mm =frac{7}{10};cm

So, radius of pencil =frac{7}{20};cm

Length of pencil = 14 cm

V_{2}= Volume of the pencil =frac{22}{7}times frac{7}{20}times frac{7}{20}times 14;cm^{3}

                                          =5.39;cm^{3}

Volume of the wood V_{2}-V_{1}=(5.39-0.11);cm^{3}

                                                 =5.28;cm^{3}

(iii) We have,

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

A cylindrical road roller made of iron is 1m wide. Its inner diameter is 54 cm and thickness of iron sheet rolled into the road roller is 9 cm. Find the weight of the roller if 1c.c of iron weighs 8 gm. (in cu cm)

Right Option : C
View Explanation
Explanation
Question : 2

A patient in hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

Right Option : A
View Explanation
Explanation
Question : 3

A solid cylinder has a total surface area of 231 square centimetre. Its curved surface area is 2/3 of the total surface area. Find the volume of the cylinder in cubic centimetre.

Right Option : A
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
Chapters
Content / Category
Class / Course
 
 
Related Videos
Language - English

Language - English

Language - English

Language - English

Language - English
Language - English
Language - English

Language - English


Students / Parents Reviews [20]